Reflection:
Reflection is a type of rigid transformation which requires the turning of an object, shape or figure about a reference point or line. Therefore, the needed additional information is ∠DFE ≅ ∠ DFG.
Reflection implies turning the given triangle DEF about its side DF, so as to produce an image with the same dimensions but different orientation.
The required proof by Side-Angle-Side (SAS) implies that the relations will be in respect of two of its sides and their included angle.
So According to the above statement,
GF ≅ FE (: given)
DF is the common side to triangles DEF and DFG.
DFG is the included side.
Thus ∠DFE ≅ ∠ DFG (Side-Angle-Side postulate, SAS)
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Answer:
20 in²
Step-by-step explanation:
Assuming that the width of the sign is x, then from the question, we're told that the length is 5 times it's width, so
b = x inches
l = 5x inches
Again, we're told that the perimeter of the sign is 24 inches, and we know already that the perimeter of a rectangle is given as
Perimeter = 2(l + b), substituting this, we have
24 = 2(5x + x)
24 = 10x + 2x
24 = 12x
x = 24 / 12
x = 2 inches.
Since x is the width of the rectangle, and it's 2 inches, we use it to find the length of the sign.
l = 5 * 2
l = 10 inches.
Then, we are asked to find the area of the sign. Area of a rectangle is given as
A = l * b, so if we substitute, we have
Area = 10 * 2
Area = 20 square inches
4 + 5t < 19
Subtract 4 from both sides
5t < 19 - 4 or 5t < 15
Divide both sides by 5
t < 3
Answer:
y=√(7A-2x)
Step-by-step explanation:
A=2x+y²/7
Multiplying both sides by 7
7A=2x+y²
7A-2x=y²
Taking square root on both sides
y=√(7A-2x)
